华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (2): 22-26.

• 计算机科学 • 上一篇    下一篇

非线性耦合标量场方程组的精确解析解

朱菊宁1; 姚若侠2,3; 李志斌3   

  1. 1.陕西师范大学 网络学院, 西安 710062; 2. 西北大学 非线性科学中心,西安 710069; 3. 华东师范大学 计算机系, 上海 200062
  • 收稿日期:2003-12-11 修回日期:2004-01-09 出版日期:2005-05-25 发布日期:2005-05-25
  • 通讯作者: 朱菊宁

Exact Analytical Solutions of Nonlinear Coupled Scalar Field Equations(Chinese)

ZHU Ju-ning1; YAO Ruo-xia2,3; LI Zhi-bin3   

  1. 1.Network Institute, Shaanxi Normal University, Xi'an 710062 China;2. Center for Nonlinear Studies, Northwest University, Xi'an 710069, China;3. Department of Computer Science, East China normal University, Shanghai 200062, China
  • Received:2003-12-11 Revised:2004-01-09 Online:2005-05-25 Published:2005-05-25
  • Contact: ZHU Ju-ning

摘要：

利用新近提出的一种直接代数方法,在Maple系统上重新求解了非线性耦合标量场方程组,获得了该方程组形式更为一般的精确解,更正了他人手工计算所出现的一些错误.

关键词: 非线性耦合方程组, Riccati方程组, 符号计算, 精确解, 非线性耦合方程组, Riccati方程组, 符号计算, 精确解

Abstract: A system of nonlinear coupled scalar field equations is resolved on Maple, using a direct algebra method proposed recently by the authors; new and more general types of exact solutions are derived; and some mistakes made by other authors are corrected.

Key words: Riccati equations, symbolic computation, exact solutions, nonlinear coupled equations, Riccati equations, symbolic computation, exact solutions

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